{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3m0UJN9_lZBK",
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Higher-order Fluid Simulation\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/Higher_order_Kolmogorov.ipynb)\n",
    "\n",
    "This notebook simulates Kolmogorov flow using higher-order spatial and temporal schemes.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install phiflow\n",
    "from phi.jax.flow import *\n",
    "from tqdm.notebook import trange\n",
    "math.set_global_precision(64)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "4NTkTx18nitZ",
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "The Kolmogorov flow uses a sinusoidal forcing along x which is added to the velocity at every time step.\n",
    "We add a small perturbation in the form of `Noise` to violate symmetry and trigger a turbulent time development."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 517
    },
    "id": "L95qdtYBfbk1",
    "outputId": "d7875d05-603f-415f-da35-b9402d4daa75",
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 4 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "DOMAIN = dict(extrapolation=extrapolation.PERIODIC, bounds=Box(x=2*PI, y=2*PI), x=100, y=100)\n",
    "FORCING = CenteredGrid(lambda x, y: vec(x=math.sin(4 * y), y=0), **DOMAIN) + CenteredGrid(Noise(), **DOMAIN) * 0.01\n",
    "plot({'Force along X': FORCING['x'], 'Force along Y': FORCING['y']}, same_scale=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "lsr6Ri_9ZPXy",
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Next we define the momentum equation (PDE) for the incompressible flow.\n",
    "We use 6th-order implicit advection and diffusion.\n",
    "The pressure solve is integrated into Φ<sub>Flow</sub>'s 4th-order Runge-Kutta integrator `fluid.incompressible_rk4`. It uses a 4th-order direct scheme to avoid nested linear solves."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "R-e3yX3cZ95Z",
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "def momentum_equation(v, viscosity=0.001):\n",
    "    advection = advect.finite_difference(v, v, order=6)\n",
    "    diffusion = diffuse.finite_difference(v, viscosity, order=6)\n",
    "    return advection + diffusion + FORCING\n",
    "\n",
    "@jit_compile\n",
    "def rk4_step(v, p, dt):\n",
    "  return fluid.incompressible_rk4(momentum_equation, v, p, dt, pressure_order=4, pressure_solve=Solve('CG', 1e-5, 1e-5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "n50m-cfOjiRr",
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Let's run the simulation!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 541,
     "referenced_widgets": [
      "ee5e6c39be6446afb1c448e117f7b5af",
      "16cb31705a5846e28d2a3c5c375949a3",
      "b6e1ca5997374ff28984588c845cb1eb",
      "92d03b4ccb494ab58fa900f45de4e4fd",
      "300c86276c4a4ed682828484fd5d0285",
      "54b33a2b585744bf92b54e6642dd3a12",
      "5805dbf5c7ca4778ae2f06a2fcd4b14e",
      "a5c9110f85bf414798db7308de800331",
      "6e9fe3483a704b439052fde863f357f8",
      "3c913dc166c14ab0a0e5c8521c90dfa1",
      "3bf28614593a4ee28204d77d285dad97"
     ]
    },
    "id": "ZqtVZao9gNdx",
    "outputId": "58c5710b-b570-4826-e663-6b11116e0807",
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "99527cc54810483ebcfb3d4772240a81",
       "version_major": 2,
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      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x26173693b50>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v0 = CenteredGrid(tensor([0, 0], channel(vector='x, y')), **DOMAIN)\n",
    "p0 = CenteredGrid(0, **DOMAIN)\n",
    "multi_step = lambda *x, **kwargs: iterate(rk4_step, 25, *x, **kwargs)\n",
    "v_trj, p_trj = iterate(multi_step, batch(time=100), v0, p0, dt=0.005, range=trange)\n",
    "vis.plot(field.curl(v_trj.with_extrapolation(0)), animate='time')"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
